Mon, 13 Feb 2017

15:45 - 16:45
L6

The SO(3) action on the space of finite tensor categories

Noah Snyder
(Indiana University)
Abstract

The cobordism hypothesis gives a correspondence between the
framed local topological field theories with values in C and a fully
dualizable objects in C.  Changing framing gives an O(n) action on the
space of local TFTs, and hence by the cobordism hypothesis it gives a
(homotopy coherent) action of O(n) on the space of fully dualizable
objects in C.  One example of this phenomenon is that O(3) acts on the
space of fusion categories.  In fact, O(3) acts on the larger space of
finite tensor categories.  I'll describe this action explicitly and
discuss its relationship to the double dual, Radford's theorem,
pivotal structures, and spherical structures.  This is part of work in
progress joint with Chris Douglas and Chris Schommer-Pries.
 

Mon, 25 Feb 2008
15:30
Ryle Room (10 Merton Street)

'The New Intuitionism'

David McCarty
(Indiana University)
Abstract

Now that the "classical" philosophies that have danced attendance upon intuitionistic mathematics (Brouwer's subjectivism, Heyting's eclecticism, and contemporary anti-realism) are recognized as failures, it is encumbent upon intuitionists to develop new foundations for their mathematics. In this talk, we assay such efforts, in particular, investigations into the various mathematical grounds on the basis of which the law of the excluded third might be proven invalid. It will also be necessary, along the way, to explode certain mistaken ideas about intuitionism, among them the notion that the logical signs of the intuitionists bear meanings different from those attached to the corresponding signs in conventional mathematics.

Please let Bruno Whittle (@email) know if you would like to go out to dinner with the speaker after the seminar.

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